![]() ![]() This numbering pattern reveals itself in various ways throughout all of nature, as we shall see. Each succeeding number is the sum of the two preceding numbers. 1200 by Leonardo Pisa (historically known as Fibonacci). These numbers are part of the Fibonacci numbering sequence, a pattern discovered around A.D. If small, 34 and 55 if medium 55 and 89 if large 89 and 144 When these spiral rows are counted in each direction, you will discover that in the overwhelming majority of the cases that their numbers, depending upon the size of the flower, will be of the following ratio: By looking carefully at a sunflower you will observe two sets of spirals (rows of seeds or florets) spiraling in opposite directions. We will first look at this spiral in sunflowers. ![]() This spiral follows a precise mathematical pattern. ![]() This spiral is visible in things as diverse as: hurricanes, spiral seeds, the cochlea of the human ear, ram's horn, sea-horse tail, growing fern leaves, DNA molecule, waves breaking on the beach, tornados, galaxies, the tail of a comet as it winds around the sun, whirlpools, seed patterns of sunflowers, daisies, dandelions, and in the construction of the ears of most mammals. The beauty of this form is commonly called the "golden spiral." Since the body of the organism grows in the path of a spiral that is equiangular and logarithmic, its form never changes. By taking a careful look at that spiral (the chambered nautilus is probably the clearest example) you will observe that as it gets larger, it retains its identical form. It is the spiral commonly seen in shells. Let's begin with a shape with which we are all familiar. I will first begin with shapes, then discuss how a numbering pattern and a ratio (the Divine Proportion) are an inherent part of these shapes and patterns and are ubiquitous throughout creation. This Divine Proportion-existing in the smallest to the largest parts, in living and also in non-living things-reveals the awesome handiwork of God and His interest in beauty, function, and order. In God's creation, there exists a "Divine Proportion" that is exhibited in a multitude of shapes, numbers, and patterns whose relationship can only be the result of the omnipotent, good, and all-wise God of Scripture. ![]()
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